Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
472583 | Computers & Mathematics with Applications | 2011 | 14 Pages |
Abstract
In this paper, we study Bézier surfaces in R13 three-dimensional Minkowski space. In particular, we focus on timelike and spacelike cases for Bézier surfaces. We also deal with the Plateau–Bézier problem in R13, obtaining conditions over the control net to be extremal of the Dirichlet function for both timelike and spacelike Bézier surfaces. Moreover, we provide interesting examples showing the behavior of the Plateau–Bézier problem in R13 and illustrating the relationship between it and the corresponding Plateau–Bézier problem in the Euclidean space R3R3.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
H. Ugail, M.C. Márquez, A. Yılmaz,